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Finding the Third Proportional to 13,774 and 19,518

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Solution

The third proportional to 13,774 and 19,518 is: 27,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 19,518 = 19,518 : x
  2. Step 2: Convert to fraction form
    13,774/19,518 = 19,518/x
  3. Step 3: Cross multiply
    13,774x = 19,518 × 19,518
  4. Step 4: Simplify right side
    13,774x = 380,952,324
  5. Step 5: Solve for x
    x = 380,952,324/13,774
  6. Step 6: Final answer
    x = 27,657.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.